Tuesday marks the deadline for first baseman Paul Konerko and right-handed reliever J.J. Putz to accept or decline the salary arbitration offered by the White Sox on Nov. 23. If either player accepts, he will be under team control for 2011 at an increase from last year’s respective salaries. Konerko earned $12 million in 2010 in the finale of a five-year, $60-million deal, and Putz earned $3 million.

Both are expected to turn down arbitration in pursuit of multiyear deals. Their decline would mean that the White Sox would receive two Draft picks for Konerko and one for Putz. It wouldn’t mean that the White Sox are done with an organization staple for the past 12 years, in Konerko, and a key cog to a talented bullpen, in Putz.

Victor Martinez never received a contractual offer from the White Sox, as confirmed by a Major League source to MLB.com on Monday.

The White Sox had interest in the switch-hitting catcher/first baseman/designated hitter, who could have provided a needed run-production presence from the left side. But contrary to published reports, the White Sox did not make any sort of $48 million offer over three or four years.

Victor Martinez appears to be the most significant signing to date as far as the White Sox are concerned, as the catcher/first baseman/DH agreed to a four-year, $50 million deal with American League Central rival Detroit. Although it was reported that the White Sox presented Martinez with a $48 million deal, either at three or four years, a Major League source has confirmed to MLB.com that an official offer was never made.

There was interest in the talented switch-hitter on Chicago’s part, but clearly not at this particular level.